Solutions by » GCF of two numbers

What is the GCF of 1017 and 1065?

The GCF of 1017 and 1065 is 3.

Steps to find GCF

  1. Find the prime factorization of 1017
    1017 = 3 × 3 × 113
  2. Find the prime factorization of 1065
    1065 = 3 × 5 × 71
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3

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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).